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Module 1: Introduction

20222m

Which one of the following functions is asymptotically smallest?
(i) 2n2^n
(ii) nlognn^{\log n}
(iii) nnn^{\sqrt{n}}
(iv) (100)(logn)1/3+(loglogn)2/3(100)^{(\log n)^{1/3}} + (\log \log n)^{2/3}

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